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Finding the Fourth Proportional to 7,980.72, 11,971.05 and 2,434.05

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Solution

The fourth proportional to 7,980.72, 11,971.05 and 2,434.05 is: 3,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.72 : 11,971.05 = 2,434.05 : x
  2. Step 2: Convert to fraction form
    7,980.72/11,971.05 = 2,434.05/x
  3. Step 3: Cross multiply
    7,980.72x = 11,971.05 × 2,434.05
  4. Step 4: Simplify right side
    7,980.72x = 29,138,131.97
  5. Step 5: Solve for x
    x = 29,138,131.97/7,980.72
  6. Step 6: Final answer
    x = 3,651.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.